Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 82.8 beats per minute. Four of the pulse rates are 80​, 79​, 86​, and 87.   a) Find the missing value.   b) Supposed that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected. How many of the n values can be freely assigned before the remaining values are determined? (The result is referred to as the number of degrees of freedom)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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7) Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of

82.8 beats per minute. Four of the pulse rates are 80​, 79​, 86​, and 87.

 

a) Find the missing value.

 

b) Supposed that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected. How many of the n values can be freely assigned before the remaining values are determined? (The result is referred to as the number of degrees of freedom)

 

 

a) The missing value is ____beats per minute. ​(Type an integer or a decimal. Do not​ round.)

 

b) Select the correct choice below and fill in the answer box to complete your choice.

​(Type an expression using n as the​ variable.)

 

a) Of the n​ values, ___ can be freely selected because the remaining​ value(s) must be equal to the known mean.

b) Of the n​ values,___can be freely selected because the remaining​ value(s) can be expressed in terms of the​ mean, median, and midrange of the assigned values.

c) Of the n​ values, ___ can be freely selected because the remaining​ value(s) can be expressed in terms of the assigned values and the known mean.

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